Here's what rhymes with unabashable.
                        
                        
                    
                                satiable  Words that almost rhyme with unabashable
passable  chasuble  laughable  savable  impassable  impassible  national  rational  tangible  palpable  taxable  adaptable  fallible  cannibal  blamable  bankable  fanciable  radical  valuable  compatible  diagonal  irrational  mandible  factional  octagonal  tractable  detachable  flammable  merchantable  nontaxable  cantabile  unflappable  attractable  international  practical  casual  incompatible  maximal  multinational  understandable  fractional  implacable  infallible  intangible  inflammable  lnternational  impalpable  verapamil  cantonal  collapsible  madrigal  graspable  nonflammable  frangible  declarable  nondetachable  grammatical  invaluable  intractable  clavicle  interactional  ungrammatical  expandable  unpractical  retractable  transnational  hexagonal  impractical  supranational  transactional  semiannual